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Find out the coordinates of a point A, where AB is the diameter of circle whose center is $(2,-3)$ and B is $(1,4)$.
Find out the coordinates of a point A, where AB is the diameter of circle whose center is $(2,-3)$ and B is $(1,4)$.
CBSE | Class 10 | Co-ordinate Geometry | Exercise 14.3 | Maths | RD Sharma
Find out the coordinates of a point A, where AB is the diameter of circle whose center is $(2,-3)$ and B is $(1,4)$.

Let’s the coordinates of point A be (x, y)

If we have AB is the diameter, then the center in the mid-point of the diameter

Thus ,

$(2,-3)=(x+1/2,y+4/2)$

$2=x+1/2$ and $-3=y+4/2$

$4=x+1$ and $-6=y+4$

$x=3$ and y $=-10$

Hence, the coordinates of A are $(3,-10)$

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